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Finding the Third Proportional to 553,628,811 and 778,641,880.50

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Solution

The third proportional to 553,628,811 and 778,641,880.50 is: 1,095,107,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,628,811 : 778,641,880.50 = 778,641,880.50 : x
  2. Step 2: Convert to fraction form
    553,628,811/778,641,880.50 = 778,641,880.50/x
  3. Step 3: Cross multiply
    553,628,811x = 778,641,880.50 × 778,641,880.50
  4. Step 4: Simplify right side
    553,628,811x = 606,283,178,068,576,256
  5. Step 5: Solve for x
    x = 606,283,178,068,576,256/553,628,811
  6. Step 6: Final answer
    x = 1,095,107,707.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.